Combining Bayes and Carnap: An Illustration and a Challenge Dealing with Fairness

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Abstract

Carnap’s The continuum of inductive methods (University of Chicago Press, 1952) is
frequently mentioned as an historical milestone in inductive logic, but seldom used
in age old problem situations. In this paper it will be shown that the application
of Carnapian distributions may be very plausible in certain cases, in particular in
coproduction with the Bayesian way of dealing with problems. This will be illustrated in perhaps the simplest possible way, viz. in the context where the question whether a (i.i.d.) device is fair is at stake.
Original languageEnglish
Number of pages13
JournalErkenntnis
DOIs
Publication statusE-pub ahead of print - 25-Mar-2025
EventPaper presented at the conference in Bertinoro in 2018 in honour of Maria Carla Galavotti -
Duration: 7-Jun-20189-Jun-2018

Keywords

  • Carnap’s continuum, learning from experience, fairness as hypothesis, Bayes-Carnap distribution

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